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Finding the Fourth Proportional to 13,506.06, 20,259.09 and 3,645.34

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Solution

The fourth proportional to 13,506.06, 20,259.09 and 3,645.34 is: 5,468.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.06 : 20,259.09 = 3,645.34 : x
  2. Step 2: Convert to fraction form
    13,506.06/20,259.09 = 3,645.34/x
  3. Step 3: Cross multiply
    13,506.06x = 20,259.09 × 3,645.34
  4. Step 4: Simplify right side
    13,506.06x = 73,851,169.85
  5. Step 5: Solve for x
    x = 73,851,169.85/13,506.06
  6. Step 6: Final answer
    x = 5,468.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.